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Quantum correlation games

Iqbal, Azhar and Weigert, S. (orcid.org/0000-0002-6647-3252) (2004) Quantum correlation games. Journal of Physics A: Mathematical and General. pp. 5873-5885. ISSN 0305-4470

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Abstract

A new approach to play games quantum mechanically is proposed. We consider two players who perform measurements in an EPR-type setting. The payoff relations are defined as functions of correlations, i.e. without reference to classical or quantum mechanics. Classical bi-matrix games are reproduced if the input states are classical and perfectly anti-correlated, that is, for a classical correlation game. However, for a quantum correlation game, with an entangled singlet state as input, qualitatively different solutions are obtained. For example, the Prisoners' Dilemma acquires a Nash equilibrium if both players apply a mixed strategy. It appears to be conceptually impossible to reproduce the properties of quantum correlation games within the framework of classical games.

Item Type: Article
Copyright, Publisher and Additional Information: © 2004 IOP Publishing Ltd. This is an author produced version of a paper published in Journal of Physics A: Mathematical and General.
Institution: The University of York
Academic Units: The University of York > Mathematics (York)
Depositing User: Repository Officer
Date Deposited: 22 Jun 2006
Last Modified: 01 May 2016 18:38
Published Version: http://dx.doi.org/10.1088/0305-4470/37/22/012
Status: Published
Refereed: Yes
URI: http://eprints.whiterose.ac.uk/id/eprint/1345

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